×

Prepotential of \(N=2\text{ SU}(2)\) Yang-Mills gauge theory coupled with a massive matter multiplet. (English) Zbl 0863.58080

Summary: We discuss the \(N=2\) SU(2) Yang-Mills theory coupled with massive matter in the weak coupling. In particular, we obtain the instanton expansion of its prepotential. Instanton contributions in the massless limit are completely reproduced. We study also the double scaling limit of this massive theory and find that the prepotential with instanton corrections in the double scaling limit coincides with that of \(N=2\) SU(2) Yang-Mills theory without matter.

MSC:

58Z05 Applications of global analysis to the sciences
81T13 Yang-Mills and other gauge theories in quantum field theory

References:

[1] DOI: 10.1016/0550-3213(94)90124-4 · Zbl 0996.81510 · doi:10.1016/0550-3213(94)90124-4
[2] DOI: 10.1016/0550-3213(94)90214-3 · Zbl 1020.81911 · doi:10.1016/0550-3213(94)90214-3
[3] DOI: 10.1103/PhysRevLett.74.3931 · doi:10.1103/PhysRevLett.74.3931
[4] DOI: 10.1016/0370-2693(95)01010-N · doi:10.1016/0370-2693(95)01010-N
[5] DOI: 10.1016/0370-2693(95)00986-U · doi:10.1016/0370-2693(95)00986-U
[6] DOI: 10.1016/0550-3213(95)00376-4 · Zbl 0925.81347 · doi:10.1016/0550-3213(95)00376-4
[7] DOI: 10.1016/0370-2693(95)01310-5 · doi:10.1016/0370-2693(95)01310-5
[8] DOI: 10.2307/1970746 · Zbl 0215.08103 · doi:10.2307/1970746
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.